What is factor x^3y^3+125 ?

The solution to factor x^3y^3+125 is (xy+5)(x^2y^2-5xy+25)

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factor x^3y^3+125

factor

x^{3} y^{3} + 125

(x y + 5) (x^{2} y^{2} - 5 x y + 25)

Solution steps

x^{3} y^{3} + 125

Apply exponent rules

= (x y)^{3} + 5^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(x y)^{3} + 5^{3} = (x y + 5) ((x y)^{2} - 5 x y + 5^{2})

= (x y + 5) ((x y)^{2} - 5 x y + 5^{2})

Simplify

(x y)^{2} - 5 x y + 5^{2} : x^{2} y^{2} - 5 x y + 25

= (x y + 5) (x^{2} y^{2} - 5 x y + 25)

\frac{6 !}{3 ! 1 ! 1 ! 1 !}

(5 - 6) (5 + 2)

\frac{π}{4} + \frac{π}{8}

\frac{2 6}{3}

[\frac{( 1 + 5 ) ^{11} - 1}{5}]

What is factor x^3y^3+125 ?
The solution to factor x^3y^3+125 is (xy+5)(x^2y^2-5xy+25)